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Finding the Third Proportional to 37,248 and 76,135.50

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Solution

The third proportional to 37,248 and 76,135.50 is: 155,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,248 : 76,135.50 = 76,135.50 : x
  2. Step 2: Convert to fraction form
    37,248/76,135.50 = 76,135.50/x
  3. Step 3: Cross multiply
    37,248x = 76,135.50 × 76,135.50
  4. Step 4: Simplify right side
    37,248x = 5,796,614,360.25
  5. Step 5: Solve for x
    x = 5,796,614,360.25/37,248
  6. Step 6: Final answer
    x = 155,622.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.